FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 775-777

E. B. Malyshev

Abstract

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It is shown that every direct summand of tensor product
```$G\otimes A$ of a torsion free rank $1$ Abelian group $A$
and Abelian group $G$ of $\mathfrak{J}_{PA}$
has a form $\widetilde{G}\otimes A$ , where
$\widetilde{G}$ is the subgroup of $G$ isomorphic
to some direct summand of $G$ .

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Last modified: June 17, 1998